The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The coordination sequences for hexavalent and octavalent vertices are respectively 1,6,12,6,1 and 1,8,8,8,1. These do not have their own entries since they are subsequences of many other OEIS entries.